Is 3,742,816 a Prime Number?
No, 3,742,816 is not a prime number
Number Properties
- Value:3,742,816
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1110010001110001100000
- Hexadecimal:391C60
Prime Status
3,742,816 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 73 × 11 × 31
Divisors
Total divisors: 96
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 31, 32, 44, 49, 56, 62, 77, 88, 98, 112, 124, 154, 176, 196, 217, 224, 248, 308, 341, 343, 352, 392, 434, 496, 539, 616, 682, 686, 784, 868, 992, 1078, 1232, 1364, 1372, 1519, 1568, 1736, 2156, 2387, 2464, 2728, 2744, 3038, 3472, 3773, 4312, 4774, 5456, 5488, 6076, 6944, 7546, 8624, 9548, 10633, 10912, 10976, 12152, 15092, 16709, 17248, 19096, 21266, 24304, 30184, 33418, 38192, 42532, 48608, 60368, 66836, 76384, 85064, 116963, 120736, 133672, 170128, 233926, 267344, 340256, 467852, 534688, 935704, 1871408, 3742816
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.